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Get Ready for the Chapter
Diagnose Readiness
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You have two options for checking prerequisite skills.
Textbook Option Take the Quick Check below. Refer to the Quick Review for help.
QuickCheck
QuickReview
Evaluate 3a 2 - 2ab + c for the values given. (Lesson 1-2)
Example 1
1. a = 2, b = 1, c = 5
Evaluate 2(m - n) 2 + 3p for m = 5, n = 2, and p = -3.
2. a = -3, b = -2, c = 3
2(m - n) 2 + 3p
2
Original expression
3. a = -1, b = 0, c = 11
= 2(5 - 2) + 3(-3)
Substitute.
4. a = 5, b = -3, c = -9
= 2(3) 2 + 3(-3)
Subtract.
5. CAR RENTAL The cost of renting a car is given by
49x + 0.3y. Let x represent the number of days rented,
and let y represent the number of miles driven. Find the
cost for a five-day rental over 125 miles.
= 2(9) + 3(-3)
Evaluate power.
= 18 + (-9)
Multiply.
=9
Add.
Example 2
Solve each equation for the given variable. (Lesson 2-8)
6. x + y = 5 for y
7. 2x - 4y = 6 for x
Solve 5x + 15y = 9 for x.
8. y - 2 = x + 3 for y
9. 4x - 3y = 12 for x
5x + 15y = 9
5x + 15y - 15y = 9 - 15y
5x = 9 - 15y
10. GEOMETRY The formula for the perimeter of a rectangle is
P = 2w + 2!, where w represents width and ! represents
length. Solve for w.
9 - 15y
5x
_
=_
5
5
9
x=_
- 3y
5
Write the ordered pair for each point. (Lesson 1-6)
Example 3
11. A
y
Write the ordered pair for A.
12. B
#
Step 1 Begin at point A.
13. C
'
%
14. D
15. E
16. F
"
x
0
&
$
Original equation
Subtract 15y from each side.
Simplify.
Divide each side by 5.
Simplify.
Step 2 Follow along a vertical
line to the x-axis. The
x-coordinate is -4.
Step 3 Follow along a horizontal
line to the y-axis. The
y-coordinate is 2.
y
"
0
x
The ordered pair for point A is (-4, 2).
2
Online Option Take an online self-check Chapter Readiness Quiz at connectED.mcgraw-hill.com.
211
Get Started on the Chapter
You will learn several new concepts, skills, and vocabulary terms as you study
Chapter 4. To get ready, identify important terms and organize your resources.
You may wish to refer to Chapter 0 to review prerequisite skills.
StudyOrganizer
NewVocabulary
Linear Functions Make this Foldable to help you organize
your Chapter 4 notes about linear functions. Begin with one
sheet of 11” by 17” paper.
1
2
3
Fold each end of the paper
in about 2 inches.
Fold along the width and
the length. Unfold. Cut
along the fold line from
the top to the center.
Fold the top flaps down.
Then fold in half and turn
to form a folder. Staple
the flaps down to form
pockets.
English
Español
slope-intercept
form
p. 214
forma
pendiente-intersección
linear extrapolation
p. 226
extrapolación lineal
point-slope form
p. 231
forma punto-pendiente
parallel lines
p. 237
rectas paralelas
perpendicular lines
p. 238
rectas perpendiculares
scatter plot
p. 245
gráfica de dispersión
line of fit
p. 246
recta de ajuste
linear interpolation
p. 247
interpolación lineal
best-fit line
p. 253
recta de ajuste óptimo
linear regression
p. 253
retroceso lineal
correlation coefficient
p. 253
coeficiente de correlación
median-fit line
p. 255
línea de mediana-ataque
step function
p. 261
función etapa
piecewise function
p. 261
función a intervalos
greatest integer
function
p. 261
función del
máximo entero
ReviewVocabulary
coefficient p. 26 coeficiente the numerical factor of a term
4
Label the front with the
chapter title.
Linear
Functions
and
Relations
function p. 45 función
a relation in which each
element of the domain is
paired with exactly one
element of the range
ratio p. 111 razon
a comparison of two
numbers by division
212 | Chapter 4 | Linear Functions and Relations
Domain
-3
2
0
1
4
Range
2
3
5
6